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UPSC NDA 2 2017 Mathematics Solved Paper
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© examsnet.com
Question : 38
Total: 120
√
1
+
sinA
=
−
(
sin
A
2
+
cos
A
2
)
is true if
[NDA II 2017]
3
π
2
<
A
<
5
π
2
only
π
2
<
A
<
3
π
2
only
3
π
2
<
A
<
7
π
2
0
<
A
<
3
π
2
Validate
Solution:
√
1
+
sinA
=
|
sin
A
2
+
cos
A
2
|
=
{
sin
A
2
+
cos
A
2
,
2
n
π
−
π
4
≤
2
n
π
+
3
π
4
−
(
sin
A
2
+
cos
A
2
)
,
otherwise
So,
√
1
+
sinA
=
−
(
sin
A
2
+
cos
A
2
)
When
3
π
4
<
A
2
<
5
π
4
⇒
3
π
2
<
A
<
5
π
2
© examsnet.com
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